Question

Solve this problem by writing and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show your work. (4 points)

Answer 1

Let's call the number "x". Then, we can write the inequality as:

5 + 4x < 25

To solve for x, we need to isolate it on one side of the inequality:

4x < 20 (subtract 5 from both sides)
x < 5 (divide both sides by 4)

Therefore, the possible values of the number are all values less than 5. We can write the solution set as:

{x | x < 5}